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8. To support a new 2.5-m wall in the construction of a home, the carpenters nail a piece of wood from the top of the

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8. To support a new 2.5-m wall in the construction of a home, the carpenters nail a piece of wood from the top of the wall to the floor, with the piece of wood forming the hypotenuse of a right triangle it makes with the wall and floor. The piece of wood is nailed to the ground such that it makes a 30 angle with the floor. a) Represent this situation with a diagram. b) Which trigonometric ratio can be used to determine the length of the piece of wood? c) Determine the length of the piece of wood.(four marks)

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